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86796416 = 277731327
BaseRepresentation
bin1010010110001…
…10100010000000
320001022201022002
411023012202000
5134204441131
612340203132
72102520530
oct513064200
9201281262
1086796416
1144aa3483
12250994a8
1314c9ca35
14b7554c0
1579476cb
hex52c6880

86796416 has 64 divisors (see below), whose sum is σ = 200474880. Its totient is φ = 36661248.

The previous prime is 86796397. The next prime is 86796419. The reversal of 86796416 is 61469768.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (86796419) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 64745 + ... + 66071.

It is an arithmetic number, because the mean of its divisors is an integer number (3132420).

Almost surely, 286796416 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 86796416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100237440).

86796416 is an abundant number, since it is smaller than the sum of its proper divisors (113678464).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

86796416 is a wasteful number, since it uses less digits than its factorization.

86796416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1421 (or 1409 counting only the distinct ones).

The product of its digits is 435456, while the sum is 47.

The square root of 86796416 is about 9316.4594133179. The cubic root of 86796416 is about 442.7588637174.

The spelling of 86796416 in words is "eighty-six million, seven hundred ninety-six thousand, four hundred sixteen".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 73 112 128 146 224 292 448 511 584 896 1022 1168 1327 2044 2336 2654 4088 4672 5308 8176 9289 9344 10616 16352 18578 21232 32704 37156 42464 65408 74312 84928 96871 148624 169856 193742 297248 387484 594496 678097 774968 1188992 1356194 1549936 2712388 3099872 5424776 6199744 10849552 12399488 21699104 43398208 86796416